Semiglobal stabilization of continuous-time systems with bounded inputs

IEEE Transactions on Automatic Control

Volumn 44, Issue 12, 1999, Pages 2318-2320

  Lozano, Rogelio ^a   Collado, Joaquin ^b   Herrera, Angel ^c  

^a CNRS   (France)

^b UNIVERSIDAD AUTÓNOMA DE NUEVO LEÓN   (Mexico)

^c Departamento de Control Automatico   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; SYSTEM STABILITY;

CLOSED LEFT HALF-PLANE (LHP); LINEAR TIME INVARIANT CONTINUOUS SYSTEMS; PERIODIC DEAD-BEAT CONTROLLERS;

LINEAR CONTROL SYSTEMS;

EID: 0033352791     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.811219     Document Type: Article

References (15)

1. A. T. Fuller, "In the large stability of relay and saturation control systems with linear controllers," Int. J. Contr., vol. 10, pp. 457-480, 1969.
2. R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge, U.K.: Cambridge University Press, reprint with corrections, 1996.
3. P. P. Khargonekar, K. Poolla, and A. Tannenbaum, "Robust control of linear time invariant plants using periodic compensation," IEEE Trans. Automat. Contr., vol. TAC-30, pp. 1088-1096, Nov. 1985.
4. W. Liu, Y. Chitour, and E. D. Sontag, "On finite gain stabilization of linear systems subject to input saturation," SIAM J. Contr., to be published.
5. Z. Lin and A. Saberi, "Semi-global exponential stabilization of linear systems subject to 'input saturation' via linear feedbacks," Syst. Contr. Lett., vol. 21, pp. 225-239, 1993.
6. _, "Semi-global exponential stabilization of discrete-time systems subject to 'input saturation' via linear feedbacks," Syst. Contr. Lett., vol. 24, pp. 125-132, 1995.
7. G. Kreisselmeier, "Stabilization of linear systems in the presence of output measurement saturation," Syst. Contr. Lett., vol. 29, pp. 27-30, 1996.
8. R. Lozano, "Robust adaptive regulation without persistent excitation," IEEE Trans. Automat. Contr., vol. 34, pp. 1260-1267, Dec. 1989.
9. 2 BIBO output feedback stabilization with saturated control," in Proc. 13th Triennial IFAC World Congr., Paper 2a-18.2, San Francisco, CA, July 1996.
10. W. Rugh, Linear System Theory, 2nd ed. Englewood Cliffs: NJ: Prentice-Hall, 1996.
11. A. Saberi, Z. Lin, and A. R. Teel, "Control of linear systems with saturating actuators," IEEE Trans. Automat. Contr., vol. 41, pp. 368-378, Mar. 1996.
12. R. Suarez, J. Alvarez-Ramirez, and J. Solis-Daun, "Linear systems with bounded inputs: Global stabilization with eigenvalue placement," Int. J. Robust Nonlinear Contr., vol. 7, pp. 835-845, 1997.
13. H. J. Sussman, E. D. Sontag, and Y. Yang, "A general result on the stabilization of linear systems using bounded controls," IEEE Trans. Automat. Contr., vol. 39, pp. 2411-2425, Dec. 1994.
14. A. R. Teel, "Global stabilization and restricted tracking for multiple integrators with bounded control," Syst. Contr. Lett., vol. 18, pp. 165-171, 1992.
15. Y. Yang, "Global stabilization of linear systems with bounded feedback," Ph.D. dissertation, Rutgers University, New Brunswick, NJ, 1993.